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Textbook of Algebraic Number Theory

Name: Textbook of Algebraic Number Theory
Brand: Springer Verlag, Singapore
SKU: 38573866
Price: 279.39 RON
Availability: InStock
Author: Sudesh Kaur Khanduja
ISBN: 9789811691492

Sudesh Kaur Khanduja

Limba

engleză

Carte Carte broșată

Codul Libristo: 38573866

Editura Springer Verlag, Singapore, aprilie 2022

This self-contained and comprehensive textbook of algebraic number theory is useful for advanced und... Descrierea completă

Codul Libristo: 38573866

129 b

279.39 lei

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This self-contained and comprehensive textbook of algebraic number theory is useful for advanced undergraduate and graduate students of mathematics. The book discusses proofs of almost all basic significant theorems of algebraic number theory including Dedekind's theorem on splitting of primes, Dirichlet's unit theorem, Minkowski's convex body theorem, Dedekind's discriminant theorem, Hermite's theorem on discriminant, Dirichlet's class number formula, and Dirichlet's theorem on primes in arithmetic progressions. A few research problems arising out of these results are mentioned together with the progress made in the direction of each problem.Following the classical approach of Dedekind's theory of ideals, the book aims at arousing the reader's interest in the current research being held in the subject area. It not only proves basic results but pairs them with recent developments, making the book relevant and and thought-provoking. Historical notes are given at various places. Featured with numerous related exercises and examples, this book is of significant value to students and researchers associated with the field. The book also is suitable for independent study. The only prerequisite is basic knowledge of abstract algebra and elementary number theory.